The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 8 8 2 1 4 2 2 2 1 1 8 1 1 1 2 1 1 1 1 1 2 2 4 1 1 12 12 1 0 1 1 2 1 1 4 2 1 1 1 8 12 12 2 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 2 4 4 10 14 6 12 0 10 4 12 2 14 14 2 14 14 8 0 6 2 12 8 8 6 12 6 0 4 14 2 6 2 8 14 8 2 12 2 10 8 8 12 6 4 10 0 0 10 2 2 2 6 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 6 10 4 2 4 2 0 10 0 8 2 2 12 10 6 2 4 2 2 2 4 2 6 0 4 8 0 0 4 6 10 10 6 12 0 10 2 14 12 14 2 8 2 6 4 2 6 8 2 8 12 0 8 8 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 8 0 0 0 8 0 8 8 0 8 8 8 0 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 8 8 8 0 0 0 8 8 8 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 8 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 0 8 0 0 0 0 8 0 8 8 0 8 8 0 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 0 0 0 0 8 0 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+56x^60+126x^61+309x^62+562x^63+631x^64+1426x^65+1157x^66+3464x^67+2174x^68+5300x^69+2680x^70+5138x^71+2143x^72+3342x^73+1200x^74+1420x^75+539x^76+526x^77+232x^78+154x^79+69x^80+30x^81+43x^82+12x^83+14x^84+10x^86+2x^87+3x^88+2x^89+1x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=560, k=15 and d=240. This code was found by Heurico 1.16 in 21.7 seconds.